Geometric phases and criticality in spin chain systems
Mesoscale and Nanoscale Physics
2007-05-23 v2 Quantum Physics
Abstract
A relation between geometric phases and criticality of spin chains is established. As a result, we show how geometric phases can be exploited as a tool to detect regions of criticality without having to undergo a quantum phase transition. We analytically evaluate the geometric phase that correspond to the ground and excited states of the anisotropic XY model in the presence of a transverse magnetic field when the direction of the anisotropy is adiabatically rotated. Ultra-cold atoms in optical lattices are presented as a possible physical realization.
Cite
@article{arxiv.cond-mat/0502272,
title = {Geometric phases and criticality in spin chain systems},
author = {Angelo C. M. Carollo and Jiannis K. Pachos},
journal= {arXiv preprint arXiv:cond-mat/0502272},
year = {2007}
}
Comments
4 pages, 1 figures, RevTeX Analysis of resilience against errors and generalizations added